Finding the Third Proportional to 85,590 and 131,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,590 : 131,746.50 = 131,746.50 : x
2. Step 2: Convert to fraction form
   85,590/131,746.50 = 131,746.50/x
3. Step 3: Cross multiply
   85,590x = 131,746.50 × 131,746.50
4. Step 4: Simplify right side
   85,590x = 17,357,140,262.25
5. Step 5: Solve for x
   x = 17,357,140,262.25/85,590
6. Step 6: Final answer
   x = 202,794.02